Evaluate powers

1
EXAMPLE 1
Evaluate powers
625
625
2
EXAMPLE 2
Evaluate an algebraic expression
Evaluate 4x2 6x 11 when x 3.
4x2 6x 11
4(3)2 6(3) 11
Substitute 3 for x.
4(9) 6(3) 11
Evaluate power.
36 18 11
Multiply.
7
Add.
3
EXAMPLE 3
Use a verbal model to solve a problem
Craft Fair
You are selling homemade candles at a craft fair
for 3 each. You spend 120 to rent the booth and
buy materials for the candles.

• Find your profit if you sell 75 candles.

4
EXAMPLE 3
Use a verbal model to solve a problem
SOLUTION
STEP 1
Write a verbal model. Then write an algebraic
expression. Use the fact that profit is the
difference between income and expenses.
An expression that shows your profit is 3c 120.
5
EXAMPLE 3
Use a verbal model to solve a problem
STEP 2
Evaluate the expression in Step 1 when c 75.
3c 120
3(75) 120
Substitute 75 for c.
225 120
Multiply.
105
Subtract.
6
for Examples 1, 2, and 3
GUIDED PRACTICE
Evaluate the expression.
SOLUTION
216
SOLUTION
64
7
for Examples 1, 2, and 3
GUIDED PRACTICE
SOLUTION
64
SOLUTION
120
8
for Examples 1, 2, and 3
GUIDED PRACTICE
SOLUTION
20
SOLUTION
64
9
for Examples 1, 2, and 3
GUIDED PRACTICE